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Finding the Fourth Proportional to 870.19, 1,200.87 and 608.36

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Solution

The fourth proportional to 870.19, 1,200.87 and 608.36 is: 839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.19 : 1,200.87 = 608.36 : x
  2. Step 2: Convert to fraction form
    870.19/1,200.87 = 608.36/x
  3. Step 3: Cross multiply
    870.19x = 1,200.87 × 608.36
  4. Step 4: Simplify right side
    870.19x = 730,555.27
  5. Step 5: Solve for x
    x = 730,555.27/870.19
  6. Step 6: Final answer
    x = 839.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.